Equations

The conductivity \$k\$ can be non-linear. If it depends only on the primal variable \$p\$, it is already handle by the model, in other cases, one needs to provide the corresponding expression.

MixedPoisson Toolbox

The model is described in a json file which path is given by the option mixedpoisson.model_json.
The construction of this file is detailed in the following sections.

Models

The models are not considered for now.

Model section

"Model":"HDG"

Materials

The definition of the conductivity \$k\$ depends on the material, it can be linear or non-linear.
In the linear case, it is given in the material we work on by the keyword cond and in the non-linear case, by condNL.